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5179885152 = 253132378629
BaseRepresentation
bin1001101001011111…
…01100011001100000
3111100222212102121020
410310233230121200
541102022311102
62213554525440
7242235203661
oct46457543140
914328772536
105179885152
112218a01422
121006896880
136471c2400
14371d29368
15204b3abbc
hex134bec660

5179885152 has 144 divisors (see below), whose sum is σ = 15123281040. Its totient is φ = 1550555136.

The previous prime is 5179885133. The next prime is 5179885171. The reversal of 5179885152 is 2515889715.

It is an interprime number because it is at equal distance from previous prime (5179885133) and next prime (5179885171).

It is a junction number, because it is equal to n+sod(n) for n = 5179885095 and 5179885104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595974 + ... + 604602.

It is an arithmetic number, because the mean of its divisors is an integer number (105022785).

Almost surely, 25179885152 is an apocalyptic number.

5179885152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5179885152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561640520).

5179885152 is an abundant number, since it is smaller than the sum of its proper divisors (9943395888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5179885152 is a wasteful number, since it uses less digits than its factorization.

5179885152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8684 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 51.

The square root of 5179885152 is about 71971.4189939312. The cubic root of 5179885152 is about 1730.2414435759.

The spelling of 5179885152 in words is "five billion, one hundred seventy-nine million, eight hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 169 208 222 296 312 338 416 444 481 507 592 624 676 888 962 1014 1184 1248 1352 1443 1776 1924 2028 2704 2886 3552 3848 4056 5408 5772 6253 7696 8112 8629 11544 12506 15392 16224 17258 18759 23088 25012 25887 34516 37518 46176 50024 51774 69032 75036 100048 103548 112177 138064 150072 200096 207096 224354 276128 300144 319273 336531 414192 448708 600288 638546 673062 828384 897416 957819 1277092 1346124 1458301 1794832 1915638 2554184 2692248 2916602 3589664 3831276 4150549 4374903 5108368 5384496 5833204 7662552 8301098 8749806 10216736 10768992 11666408 12451647 15325104 16602196 17499612 23332816 24903294 30650208 33204392 34999224 46665632 49806588 53957137 66408784 69998448 99613176 107914274 132817568 139996896 161871411 199226352 215828548 323742822 398452704 431657096 647485644 863314192 1294971288 1726628384 2589942576 5179885152